Pith Number

pith:5A5W4ESH

pith:2017:5A5W4ESHVNSV4HPLMUMFPT42TZ

not attested not anchored not stored refs pending

Entropy and generic mean curvature flow in curved ambient spaces

Alexander Mramor

arxiv:1706.01233 v2 · 2017-06-05 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5A5W4ESHVNSV4HPLMUMFPT42TZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:41:06.830636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e83b6e1247ab655e1deb651857cf9a9e6ed52b7f71dcbf073bd73c17cbe1f977

Aliases

arxiv: 1706.01233 · arxiv_version: 1706.01233v2 · doi: 10.48550/arxiv.1706.01233 · pith_short_12: 5A5W4ESHVNSV · pith_short_16: 5A5W4ESHVNSV4HPL · pith_short_8: 5A5W4ESH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5A5W4ESHVNSV4HPLMUMFPT42TZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e83b6e1247ab655e1deb651857cf9a9e6ed52b7f71dcbf073bd73c17cbe1f977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d81281a937537303a8f91ad6f4d5dc9b346f2048b4e5935687fbcf318ce82b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-05T08:19:24Z",
    "title_canon_sha256": "4b88b7565a685c48e34bbe8414840dd0efc5c148086e6cd6d24876b9165b9202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01233",
    "kind": "arxiv",
    "version": 2
  }
}